1035121113 has 30 divisors (see below), whose sum is σ = 1674409374. Its totient is φ = 636989184.

The previous prime is 1035121097. The next prime is 1035121117. The reversal of 1035121113 is 3111215301.

It can be written as a sum of positive squares in 3 ways, for example, as 15468489 + 1019652624 = 3933^2 + 31932^2 .

It is not a de Polignac number, because 1035121113 - 2⁴ = 1035121097 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1035121117) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 24120 + ... + 51497.

Almost surely, 2^1035121113 is an apocalyptic number.

1035121113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1035121113 is a deficient number, since it is larger than the sum of its proper divisors (639288261).

1035121113 is an equidigital number, since it uses as much as digits as its factorization.

1035121113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75655 (or 75633 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 18.

The square root of 1035121113 is about 32173.2981368090. The cubic root of 1035121113 is about 1011.5725960670.

Adding to 1035121113 its reverse (3111215301), we get a palindrome (4146336414).

The spelling of 1035121113 in words is "one billion, thirty-five million, one hundred twenty-one thousand, one hundred thirteen".